Integrals 101 to 200

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{2-m}}{(bc+ad+2bdx{)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(2-m)/(2*b*d*x+a*d+b*c)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1787$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^{2-m}}{(bc+ad+2bdx{)}^4}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(2-m)/(2*b*d*x+a*d+b*c)**4,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1788$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^n(e+fx{)}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1796$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^n(e+fx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**n*(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1797$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**n,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1798$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^n}{e+fx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**n/(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1799$

Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^n(e+fx{)}^{3+n}(a(de+cf)+2adfx{)}^{m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n*(f*x+e)**(3+n)*(a*(c*f+d*e)+2*a*d*f*x)**m,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1810$

Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^n(e+fx{)}^{2+n}(a(de+cf)+2adfx{)}^{m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n*(f*x+e)**(2+n)*(a*(c*f+d*e)+2*a*d*f*x)**m,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1811$

Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^n(e+fx{)}^{1+n}(a(de+cf)+2adfx{)}^{m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n*(f*x+e)**(1+n)*(a*(c*f+d*e)+2*a*d*f*x)**m,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1812$

Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^n(e+fx{)}^n(a(de+cf)+2adfx{)}^{m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n*(f*x+e)**n*(a*(c*f+d*e)+2*a*d*f*x)**m,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1813$

Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^n(e+fx{)}^{-1+n}(a(de+cf)+2adfx{)}^{m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n*(f*x+e)**(-1+n)*(a*(c*f+d*e)+2*a*d*f*x)**m,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1814$

Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^n(e+fx{)}^{-2+n}(a(de+cf)+2adfx{)}^{m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n*(f*x+e)**(-2+n)*(a*(c*f+d*e)+2*a*d*f*x)**m,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1815$

Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^n(e+fx{)}^{-3+n}(a(de+cf)+2adfx{)}^{m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n*(f*x+e)**(-3+n)*(a*(c*f+d*e)+2*a*d*f*x)**m,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/22_1.1.1.3d

Test file number $22$

Integral number in file $1816$

Sympy [F(-2)]

Exception generated. $$\int x(a+bx{)}^m(c+dx{)}^n(e+fx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x*(b*x+a)**m*(d*x+c)**n*(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/23_1.1.1.4a

Test file number $23$

Integral number in file $229$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^n(e+fx)(g+hx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)*(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/23_1.1.1.4a

Test file number $23$

Integral number in file $230$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^n(g+hx)}{\sqrt{e+fx}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**n*(h*x+g)/(f*x+e)**(1/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/23_1.1.1.4a

Test file number $23$

Integral number in file $231$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^3}{(e+fx)(g+hx)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**3/(f*x+e)/(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $117$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(c+dx{)}^2}{(e+fx)(g+hx)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**2/(f*x+e)/(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $118$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m}{(c+dx)(e+fx)(g+hx)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m/(d*x+c)/(f*x+e)/(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $121$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^4(e+fx{)}^n}{(a+bx)(c+dx)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**4*(f*x+e)**n/(b*x+a)/(d*x+c),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $123$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m}{(c+dx)(e+fx)(g+hx)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m/(d*x+c)/(f*x+e)/(h*x+g),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $133$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^n(e+fx)(g+hx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)*(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $134$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^n(e+fx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**n*(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $135$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^n(e+fx{)}^2(g+hx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)**2*(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $139$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^n(e+fx{)}^{2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**n*(f*x+e)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $140$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{1-m}(e+fx)(g+hx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(1-m)*(f*x+e)*(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $144$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-m}(e+fx)(g+hx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(f*x+e)*(h*x+g)/((d*x+c)**m),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $145$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-1-m}(e+fx)(g+hx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-1-m)*(f*x+e)*(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $146$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-2-m}(e+fx)(g+hx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-2-m)*(f*x+e)*(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $147$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-3-m}(e+fx)(g+hx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-3-m)*(f*x+e)*(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $148$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^{-4-m}(e+fx)(g+hx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**(-4-m)*(f*x+e)*(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $149$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^2(c+dx{)}^{-4-m}(e+fx{)}^m(g+hx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**2*(d*x+c)**(-4-m)*(f*x+e)**m*(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $150$

Sympy [F(-2)]

Exception generated. $$\int (a+bx)(c+dx{)}^{-4-m}(e+fx{)}^m(g+hx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)*(d*x+c)**(-4-m)*(f*x+e)**m*(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $151$

Sympy [F(-2)]

Exception generated. $$\int (c+dx{)}^{-4-m}(e+fx{)}^m(g+hx)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**(-4-m)*(f*x+e)**m*(h*x+g),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $152$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^m(e+fx{)}^n}{(a+bx)(c+dx)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**m*(f*x+e)**n/(b*x+a)/(d*x+c),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $153$

Sympy [F(-2)]

Exception generated. $$\int \frac{(a+bx{)}^m(A+Bx)(c+dx{)}^{-m}}{e+fx}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(B*x+A)/((d*x+c)**m)/(f*x+e),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/24_1.1.1.4b

Test file number $24$

Integral number in file $154$

Sympy [F(-2)]

Exception generated. $$\int \frac{(c+dx{)}^n(A+Bx+C{x}^2+D{x}^3)}{(a+bx{)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n*(D*x**3+C*x**2+B*x+A)/(b*x+a)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number $26$

Integral number in file $179$

Sympy [F(-2)]

Exception generated. $$\int \frac{(c+dx{)}^n(A+Bx+C{x}^2+D{x}^3)}{(a+bx{)}^{3/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n*(D*x**3+C*x**2+B*x+A)/(b*x+a)**(3/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number $26$

Integral number in file $185$

Sympy [F(-2)]

Exception generated. $$\int \frac{(c+dx{)}^n(A+Bx+C{x}^2+D{x}^3)}{(a+bx{)}^{5/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n*(D*x**3+C*x**2+B*x+A)/(b*x+a)**(5/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number $26$

Integral number in file $186$

Sympy [F(-2)]

Exception generated. $$\int \frac{(c+dx{)}^n(A+Bx+C{x}^2+D{x}^3)}{(a+bx{)}^{9/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n*(D*x**3+C*x**2+B*x+A)/(b*x+a)**(9/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number $26$

Integral number in file $188$

Sympy [F(-2)]

Exception generated. $$\int \frac{(c+dx{)}^n(A+Bx+C{x}^2+D{x}^3)}{(a+bx{)}^{11/2}}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x+c)**n*(D*x**3+C*x**2+B*x+A)/(b*x+a)**(11/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number $26$

Integral number in file $189$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(A+Bx)(c+dx{)}^{n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(B*x+A)*(d*x+c)**n,x)
                                                                                    
                                                                                    
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number $26$

Integral number in file $190$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^n(A+Bx+C{x}^2)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**n*(C*x**2+B*x+A),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number $26$

Integral number in file $191$

Sympy [F(-2)]

Exception generated. $$\int (a+bx{)}^m(c+dx{)}^n(A+Bx+C{x}^2+D{x}^3)dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((b*x+a)**m*(d*x+c)**n*(D*x**3+C*x**2+B*x+A),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.1_Linear_binomial/26_1.1.1.6

Test file number $26$

Integral number in file $192$

Sympy [F(-2)]

Exception generated. $$\int {(a+b\sqrt{x})}^p{x}^{3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**(1/2))**p*x**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/47_1.1.3.2_e

Test file number $47$

Integral number in file $154$

Sympy [F(-2)]

Exception generated. $$\int (dx{)}^m{\left(c{(a+b{x}^2)}^3\right)}^{3/2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((d*x)**m*(c*(b*x**2+a)**3)**(3/2),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.2/49_1.1.3.2_g

Test file number $49$

Integral number in file $60$

Sympy [F(-2)]

Exception generated. $$\int \frac{1}{(a+b{x}^n){(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(1/(a+b*x**n)/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $86$

Sympy [F(-2)]

Exception generated. $$\int \frac{1}{(a+b{x}^n){(c+d{x}^n)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(1/(a+b*x**n)/(c+d*x**n)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $87$

Sympy [F(-2)]

Exception generated. $$\int \frac{1}{{(a+b{x}^n)}^2(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(1/(a+b*x**n)**2/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $92$

Sympy [F(-2)]

Exception generated. $$\int \frac{1}{{(a+b{x}^n)}^2{(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(1/(a+b*x**n)**2/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $93$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(a+b{x}^n)}^p}{c+d{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**n)**p/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $123$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(a+b{x}^n)}^p}{{(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**n)**p/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $124$

Sympy [F(-2)]

Exception generated. $$\int {(a+b{x}^n)}^p{(c+d{x}^n)}^{-1-\frac{1}{n}-p}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**n)**p*(c+d*x**n)**(-1-1/n-p),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $126$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(c+d{x}^n)}^{-1/n}}{a+b{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(1/(a+b*x**n)/((c+d*x**n)**(1/n)),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $131$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(c+d{x}^n)}^{1-\frac{1}{n}}}{{(a+b{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((c+d*x**n)**(1-1/n)/(a+b*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $132$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(c+d{x}^n)}^{2-\frac{1}{n}}}{{(a+b{x}^n)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((c+d*x**n)**(2-1/n)/(a+b*x**n)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $133$

Sympy [F(-2)]

Exception generated. $$\int {(a+b{x}^n)}^p{(c+d{x}^n)}^{-2-\frac{1}{n}-p}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**n)**p*(c+d*x**n)**(-2-1/n-p),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $134$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(c+d{x}^n)}^{-1-\frac{1}{n}}}{a+b{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((c+d*x**n)**(-1-1/n)/(a+b*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $139$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(c+d{x}^n)}^{-1/n}}{{(a+b{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(1/(a+b*x**n)**2/((c+d*x**n)**(1/n)),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $140$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(c+d{x}^n)}^{1-\frac{1}{n}}}{{(a+b{x}^n)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((c+d*x**n)**(1-1/n)/(a+b*x**n)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $141$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(c+d{x}^n)}^{2-\frac{1}{n}}}{{(a+b{x}^n)}^4}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((c+d*x**n)**(2-1/n)/(a+b*x**n)**4,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $142$

Sympy [F(-2)]

Exception generated. $$\int {(a+b{x}^n)}^p{(c+d{x}^n)}^{q}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**n)**p*(c+d*x**n)**q,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/52_1.1.3.3_c

Test file number $52$

Integral number in file $143$

Sympy [F(-2)]

Exception generated. $$\int \frac{{(c+d{x}^{2n})}^p}{(a-b{x}^n)(a+b{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((c+d*x**(2*n))**p/(a-b*x**n)/(a+b*x**n),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.3/53_1.1.3.3_d

Test file number $53$

Integral number in file $5$

Sympy [F(-2)]

Exception generated. $$\int {(a+b\sqrt{x})}^p{(c+d\sqrt{x})}^q{x}^{m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**(1/2))**p*(c+d*x**(1/2))**q*x**m,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $252$

Sympy [F(-2)]

Exception generated. $$\int {(a+b\sqrt{x})}^p{(c+d\sqrt{x})}^q(ex{)}^{m}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((a+b*x**(1/2))**p*(c+d*x**(1/2))**q*(e*x)**m,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $253$

Sympy [F(-2)]

Exception generated. $$\int \frac{A+B{x}^n}{x^3{(a+b{x}^n)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((A+B*x**n)/x**3/(a+b*x**n)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $287$

Sympy [F(-2)]

Exception generated. $$\int \frac{A+B{x}^n}{x^4{(a+b{x}^n)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((A+B*x**n)/x**4/(a+b*x**n)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $288$

Sympy [F(-2)]

Exception generated. $$\int \frac{A+B{x}^n}{x^{7/2}{(a+b{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((A+B*x**n)/x**(7/2)/(a+b*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $323$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{3/2}(A+B{x}^n)}{{(a+b{x}^n)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(3/2)*(A+B*x**n)/(a+b*x**n)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $324$

Sympy [F(-2)]

Exception generated. $$\int \frac{A+B{x}^n}{\sqrt{x}{(a+b{x}^n)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((A+B*x**n)/x**(1/2)/(a+b*x**n)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $326$

Sympy [F(-2)]

Exception generated. $$\int \frac{A+B{x}^n}{x^{3/2}{(a+b{x}^n)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((A+B*x**n)/x**(3/2)/(a+b*x**n)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $327$

Sympy [F(-2)]

Exception generated. $$\int \frac{A+B{x}^n}{x^{5/2}{(a+b{x}^n)}^3}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((A+B*x**n)/x**(5/2)/(a+b*x**n)**3,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $328$

Sympy [F(-2)]

Exception generated. $$\int \frac{1}{x^3(a+b{x}^n)(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(1/x**3/(a+b*x**n)/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $441$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^2}{{(a+b{x}^n)}^2(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**2/(a+b*x**n)**2/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $442$

Sympy [F(-2)]

Exception generated. $$\int \frac{x}{{(a+b{x}^n)}^2(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x/(a+b*x**n)**2/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $443$

Sympy [F(-2)]

Exception generated. $$\int \frac{1}{{(a+b{x}^n)}^2(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(1/(a+b*x**n)**2/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $444$

Sympy [F(-2)]

Exception generated. $$\int \frac{1}{x{(a+b{x}^n)}^2(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(1/x/(a+b*x**n)**2/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $445$

Sympy [F(-2)]

Exception generated. $$\int \frac{1}{x^2{(a+b{x}^n)}^2(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(1/x**2/(a+b*x**n)**2/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $446$

Sympy [F(-2)]

Exception generated. $$\int \frac{1}{x^3{(a+b{x}^n)}^2(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(1/x**3/(a+b*x**n)**2/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $447$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1+2n}}{(a+b{x}^n)(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1+2*n)/(a+b*x**n)/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $455$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1+2n}}{{(a+b{x}^n)}^2(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1+2*n)/(a+b*x**n)**2/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $456$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1+2n}}{{(a+b{x}^n)}^3(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1+2*n)/(a+b*x**n)**3/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $457$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1+3n}}{(a+b{x}^n)(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1+3*n)/(a+b*x**n)/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $461$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1+3n}}{{(a+b{x}^n)}^2(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1+3*n)/(a+b*x**n)**2/(c+d*x**n),x)
                                                                                    
                                                                                    
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $462$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1+3n}}{{(a+b{x}^n)}^3(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1+3*n)/(a+b*x**n)**3/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $463$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m}{{(a+b{x}^n)}^2(c+d{x}^n)}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m/(a+b*x**n)**2/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $492$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-n(-1+p)}{(a+b{x}^n)}^p}{c+d{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(-1+p))*(a+b*x**n)**p/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $495$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m{(a+b{x}^n)}^p}{c+d{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(a+b*x**n)**p/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $500$

Sympy [F(-2)]

Exception generated. $$\int \frac{(ex{)}^m{(a+b{x}^n)}^p}{{(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate((e*x)**m*(a+b*x**n)**p/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $501$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-n(3+p)}{(a+b{x}^n)}^p}{c+d{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(3+p))*(a+b*x**n)**p/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $517$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-n(3+p)}{(a+b{x}^n)}^p}{{(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(3+p))*(a+b*x**n)**p/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $518$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-n(2+p)}{(a+b{x}^n)}^p}{c+d{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(2+p))*(a+b*x**n)**p/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $523$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-n(2+p)}{(a+b{x}^n)}^p}{{(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(2+p))*(a+b*x**n)**p/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $524$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-n(1+p)}{(a+b{x}^n)}^p}{c+d{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(p+1))*(a+b*x**n)**p/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $529$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-n(1+p)}{(a+b{x}^n)}^p}{{(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(p+1))*(a+b*x**n)**p/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $530$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-np}{(a+b{x}^n)}^p}{c+d{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-n*p-1)*(a+b*x**n)**p/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $536$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-np}{(a+b{x}^n)}^p}{{(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-n*p-1)*(a+b*x**n)**p/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $537$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-n(-1+p)}{(a+b{x}^n)}^p}{c+d{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(-1+p))*(a+b*x**n)**p/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $542$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-n(-1+p)}{(a+b{x}^n)}^p}{{(c+d{x}^n)}^2}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(-1+p))*(a+b*x**n)**p/(c+d*x**n)**2,x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
                                                                                    
                                                                                    
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $543$

Sympy [F(-2)]

Exception generated. $$\int \frac{x^{-1-n(-2+p)}{(a+b{x}^n)}^p}{c+d{x}^n}dx=\text{Exception raised: HeuristicGCDFailed}$$ Input:

integrate(x**(-1-n*(-2+p))*(a+b*x**n)**p/(c+d*x**n),x)
 

Output:

Exception raised: HeuristicGCDFailed >> no luck
 

input file name test_cases/rubi_tests/1_Algebraic_functions/1.1_Binomial/1.1.3_General_binomial/1.1.3.4/56_1.1.3.4_c

Test file number $56$

Integral number in file $549$